LINPACK Addendum Version 1.1 March 23, 1985 Adam Fritz 133 Main Street Afton, New York 13730 PERFORMANCE =========== Thå tablå belo÷ ió excerpteä froí Referencå ² showinç per formancå  usinç 'full§ precisioî arithmetiã foò á 100x10°  lineaò systeí  witè  variouó  equipmenô anä  softwarå  configurations® Entrieó foò SBC-200¬  CO16¬  anä Heath/Zenith-10°  microcomputeró arå interpolated. -------------------------------------------------------------- | | | Solving a System of Linear Equations | | with LINPACK in Full Precision | | | | computer os/compiler ratio mflops time | | secs | | | | Cray x-mp cft (c blas) 0.36 33 .021 | | CDC cyber 205 ftn (c blas) 0.48 25 .027 | | Cray-1 s cft (c blas) 0.54 23 .030 | | Cray x-mp cft (r blas) 0.57 21 .032 | | Fujitsu vp-200 f77 (c dir) 0.64 19 .040 | | Fujitsu vp-200 f77 (r blas) 0.72 17 .040 | | Hitachi s-810/20 f77/hap (r blas) 0.74 17 .042 | | Cray-1 s cft (r blas) 1.0 12 .056 | | CDC cyber 205 ftn (r blas) 1.5 8.4 .082 | | NAS 9060 w/vpf vs opt=2 (c blas) 1.8 6.8 .101 | | Fujitsu m-380 f77 opt=3 1.9 6.3 .109 | | CDC cyber 875 ftn5 opt=3 (c blas) 2.2 5.5 .124 | | NAS 9060 vs opt=2 2.3 5.3 .130 | | CDC cyber 875 ftn5 opt=3 2.6 4.8 .143 | | CDC 7600 ftn (c blas) 2.6 4.6 .148 | | CDC cyber 176 ftn 5.1 opt=2 2.6 4.6 .148 | | Amdahl 5860 hsfpf h enh opt=3 3.1 3.9 .176 | | Amdahl 5860 hsfpf vs opt=3 3.2 3.8 .181 | | CDC cyber 760 ftn5 opt=3 (c blas) 3.3 3.7 .186 | | CDC 7600 ftn 3.8 3.3 .210 | | CDC cyber 760 ftn5 opt=3 4.7 2.6 .260 | | FPS 164 d opt=3 (c blas) 4.7 2.6 .264 | | IBM 370/195 h enh opt=3 4.9 2.5 .275 | Copyright (C) 1985 Adam Fritz, 133 Main Street, Afton, NY 13730 Š | IBM 3081 k h enh opt=3 5.7 2.1 .321 | | CDC cyber 175 ftn5 opt=2 5.8 2.1 .322 | | IBM 3081 k vs opt=3 6.2 2.0 .346 | | CDC 7600 local 6.4 2.0 .359 | | CDC cyber 175 ftn5 opt=1 6.8 1.8 .381 | | IBM 3033 h enh opt=3 7.0 1.8 .390 | | IBM 3033 vs opt=3 7.1 1.7 .396 | | IBM 3081 d vs opt=3 7.4 1.7 .415 | | Amdahl 470 v/8 h enh opt=3 7.7 1.6 .429 | | Amdahl 470 v/8 vs opt=3 8.2 1.5 .458 | | FPS 164 d opt=3 9.5 1.3 .529 | | CDC 7600 chat no opt 9.9 1.2 .554 | | IBM 370/168 f mul h ext 10 1.2 .579 | | Amdahl 470 v/6 h opt=2 11 1.1 .631 | | IBM 4381 vs opt=3 13 .96 .718 | | IBM 370/165 f mul h ext 16 .77 .890 | | Harris 1000 v3.3 opt g (c blas) 22 .57 1.21 | | CDC 6600 ftn 4.6 opt=2 26 .48 1.44 | | CDC cyber 170-835 ftn5 opt=2 26 .47 1.45 | | CDC cyber 170-835 ftn5 28 .44 1.57 | | Harris 1000 vos 3.3 opt g 30 .41 1.67 | | Univac 1100/81 ascii opt=zeo 32 .38 1.80 | | Concept 32/8750 utx/32 34 .36 1.88 | | CDC 6600 run 34 .36 1.93 | | DG mv/10000 f77 opt level 2 40 .30 2.26 | | IBM 4361 vs opt=3 41 .30 2.31 | | Harris 800 f77 53 .23 2.99 | | IBM 370/158 h opt=3 53 .23 2.99 | | VAX 11/785 fpa vms (c blas) 54 .23 3.01 | | IBM 370/158 vs opt=3 56 .22 3.15 | | CDC cyber 170-720 ftn5 opt=2 62 .20 3.47 | | Itel as/5 mod 3 h 63 .19 3.54 | | ND-500 ftn500e 63 .19 3.54 | | CDC cyber 170-825 ftn5 opt=2 65 .19 3.63 | | IBM 4341 mg10 vs opt=3 66 .19 3.70 | | VAX 11/785 fpa vms 68 .18 3.79 | | CDC cyber 170-825 ftn5 opt=1 68 .18 3.81 | | CDC cyber 170-720 ftn5 opt=1 70 .17 3.93 | | VAX 11/780 fpa vms (c blas) 76 .16 4.25 | | ICL 2988 f77 opt=2 85 .14 4.78 | | VAX 11/750 fpa vms (c blas) 88 .14 4.92 | | VAX 11/780 fpa vms 94 .13 5.28 | | Concept 32/6750 utx/32 99 .17 5.53 | | VAX 11/780 fpa bsd unix 4.2 ftn 101 .12 5.67 | | CDC 6500 fun 102 .12 5.69 | | Denelcor hep f77 107 .11 5.98 | | Prime 750 primos f77 v19.1 107 .11 6.00 | | VAX 11/750 fpa vms v3.4 113 .10 6.87 | | VAX 11/750 fpa bsd unix 4.2 f77 128 .096 7.15 | | Prime 850 primos 130 .095 7.26 | | Univac 1100/62 ascii opt=zeo 132 .093 7.38 | | DG mv/8000 f77 opt level 2 157 .078 8.80 | Copyright (C) 1985 Adam Fritz, 133 Main Street, Afton, NY 13730 Š | Ridge 32 f77 179 .068 10.0 | | Apollo dn 460 ftn opt 208 .059 11.6 | | VAX 11/750 vms v3.4 215 .057 12.1 | | HP 9000 series 500 fortran 1.7 285 .043 16.0 | | VAX 11/730 fpa vms (c blas) 286 .043 16.0 | | VAX 11/725 fpa vms (c clas) 286 .043 16.0 | | Apollo peb 4.1 (c blas) 323 .038 18.1 | | IBM 4331 h opt=3 326 .038 18.3 | | Pyramid w/o fpa f77 334 .037 18.7 | | VAX 11/730 fpa vms 348 .036 19.5 | | VAX 11/725 fpa vms 348 .036 19.5 | | Prime 2250 ftn77 365 .034 20.5 | | IBM pc-xt/370 h opt=3 391 .031 21.9 | | VAX 11/750 bsd unix 4.2 f77 422 .029 23.7 | | Masscomp 500 w/fp unix f77 opt 452 .027 25.3 | | SUN 2+sky unix f77 opt 557 .022 31.2 | | Apollo peb 4.1 559 .022 31.3 | | Canaan vs 588 .021 33.0 | * CO16 8mhz 8087 ms pascal 3.11 696 .018 39 * | CRDS 6835+sky svs f77 700 .018 39.2 | * CO16 8mhz 8087 ms3.2 921 .013 51.6 * | Cadtrak ds1/8087 intel f77 1143 .011 64.0 | | IBM pc/at ms3.2 1341 .0091 75.1 | | CRDS 6835 svs f77 1401 .0088 78.5 | | IBM pc/xt ms3.2 1766 .0069 98.9 | * CO16 8mhz 8087 turbo 3.01a 1926 .0063 108 * | HP 9000 series 200 hp-ux 1982 .0062 111 | | SUN 2 unix f77 opt 1991 .0062 112 | * CO16 8mhz 8087 turbo 2.00b 2392 .0051 134 * | Masscomp 500 unix f77 opt 2588 .0047 145 | | SUN unix f77 no opt 2661 .0046 149 | * H/Z-100 5mhz 8087 turbo 2.0 3732 .0033 209 * |_____________________________________________________________| where; ratio - is to a Cray-1 S using FORTRAN coded BLAS. c blas & r blas - denote coded and rolled versions of BLAS. mflops - millions of floating point operations per second and there are (2/3 n**3 + 2 n**2) operations. Each operation comprises a multiplication, an addition, and associated indexing and load and store functions. time - one call to SGEFA and one call to SGESL. NOTICES ======= CO16 (tm) Hallock Systems Company SBC-200 (tm) SD Systems H/Z-100 (tm) Zenith Data Systems MS-DOS (C) Microsoft TURBO Pascal (tm) Borland International MS Pascal (C) Microsoft Copyright (C) 1985 Adam Fritz, 133 Main Street, Afton, NY 13730 Š